a certain isotope decays at a rate such that it loses 15% of its mass every second. find the equation of the form

Answers

Answer 1

The equation of the form of isotope is M(n) = (1 - 15%)ⁿ M grams. Where M is the initial mass of an isotope.

If the initial mass of an isotope is M grams and every second it loses 15%, it means the remaining of an isotope

After 1 s
M(1) = M - 15% M
M(1) = M - 0.15M
M(1) = 0.85MAfter 2 s
M(2) = 0.85M - 15% (0.85M)
M(2) = 0.85M (1 - 15%)
M(2) = 0.85M (100% - 15%)
M(2) = 0.85M × 0.85
M(2) = 0.85² MAfter 3 s
M(3) = 0.85² M - 15% (0.85² M)
M(3) = 0.85² M (1 - 15%)
M(3) = 0.85² M × 0.85
M(3) = 0.85³MAfter n s
M(n) = 0.85ⁿ M
M(n) = (1 - 15%)ⁿ M

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Related Questions

Using the following balanced equation, 2 moles of C2H6 will produce how many total moles of products?
2 C2H6 + 7 O2 → 4 CO2 + 6 H2O

a. 2
b. 10
c. 4
d. 6

Answers

Combustion reaction of ethane gas gives 4 moles of carbon dioxide and 6 moles of water. Thus, total number of moles of products is 10.

What is combustion?

Combustion is the reaction of compounds with atmospheric oxygen to produce carbon dioxide and water. Hydrocarbon gases such as methane, ethane etc. easily burn in oxygen.

The balanced reaction of ethane gas C₂H₆ with oxygen is given here. 2 moles of ethane gas combines with 7 moles of oxygen gas forming 4 moles of carbon dioxide and 6 moles of water.

Here, all the elements of the reaction are balanced in each side and thus, the total number of moles of products is 4 + 6 = 10. Thus, option b is correct.

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Table gives the composition of three particles

Answers

As per the given statements : 1. Particle A is an atom because it has protons, electrons and neutrons.2. A, B and C are all particles of the same element. No, A, B and C are not the particles of same element as there no. of electrons differ. 3.Particles A and C are isotopes of the same element. Yes.

What is an atom?

The smallest unit of matter in which it can be broken without exhibiting any charged particle is termed as atom. atom is made up of three particles of which Proton (+ivly charged) and electron (-ivly charged) are charged particles while neutron is a neutral particle , doesn't have any charge.

Isotopes:

They are the particles of same element and have same no . of protons and electrons i.e. is same atomic number but they differ in no. of neutrons.

So bcz of the above reason in statement three Particles A and C are isotopes of the same element is correct.

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rank the following ionic compounds based on increasing lattice energy. mgo, cacl2, nacl, nabr

Answers

The increasing order of lattice energy for the given ionic compounds is NaBr <NaCl< CaCl₂ < MgO.

Ionic compounds refer to compounds comprising of ions that form charged particles when an atom (or group of atoms) gains or loses electrons. A cation is an ion charged positively; an anion is an ion charged negatively. Lattice energy refers to the energy required to convert one mole of an ionic solid into gaseous ionic constituents. Alternatively, it refers to the energy that must be supplied to one mole of an ionic crystal in order to separate it into gaseous ions in a vacuum via an endothermic process. Lattice energy is the energy gap between the energy of the separate gaseous ions and the energy of the ionic solid. Lattice energy increases with decrease in size and increase in charge. Hence, based on this the order of increasing lattice energy is NaBr, NaCl,  CaCl₂, and MgO.

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According to the infrographic, what happens to carbon after trees respire?

A. It cleans the soil of fungi.


B. It is stored in the roots and branches


C. It is released into the atmosphere.


D. It is turned to sugar and minerals.

Answers

The answer is letter D

Other than color, what evidence can you use to identify chemical changes?

Answers

Explanation:

There are several pieces of evidence that can be used to identify chemical changes, other than a change in color. Some of these include the production of a gas, the formation of a precipitate, a change in temperature, and a change in the state of matter (e.g. from a solid to a liquid or vice versa). For example, if a solid substance is added to a liquid and bubbles of gas are produced, this is evidence of a chemical change. Similarly, if two clear solutions are mixed together and a solid precipitate forms, this is also evidence of a chemical change. Additionally, if a substance is heated and it changes from a solid to a liquid or from a liquid to a gas, this is also evidence of a chemical change.

What is the volume of 1.78 moles of nitrogen gas (N2) at STP

Answers

Answer:

[tex]\huge\boxed{\sf v = 39.872\ dm\³}[/tex]

Explanation:

Given data:

Moles = n = 1.78 moles

Molar volume = V = 22.4 dm³

Required:

Volume = v = ?

Formula:

v = n × V

Solution:

v = 1.78 × 22.4

v = 39.872 dm³

[tex]\rule[225]{225}{2}[/tex]

nuclear decay occurs according to first-order kinetics. a nuclide decays in 23.0 minutes from 12.9 g to 2.04 g. what is the rate constant for the nuclide?

Answers

The rate constant for the nuclide according to first-order kinetics is 0.0802 per minute.

Nuclear Decay in First-Order Kinetics:

m(t) = Me∧(-αt)

where m(t) = mass of nuclide after decay at time t;

M = mass of nuclide before decay;

α = rate constant of decay;

t = time for the decay.

What is first-order kinetics?

When a fixed percentage of the drug is excreted per unit of time, this is known as first-order kinetics.

For example, The amount of drug in the body has a direct relationship to the rate of removal. The amount of medication eliminated per unit of time increases with concentration. The medication concentration decreases by 50% for each half-life.

Now,

m(t) = Me∧(-αt)

⇒e∧(αt) = [tex]\frac{m}{m(t)}[/tex]

applying ln on both sides;

αt = ln([tex]\frac{m}{m(t)}[/tex])

α = [tex]\frac{ln(m/m(t))}{t}[/tex]

here t= 23 minutes, M = 12.9 grams, m(t) = 2.04 grams;

dropping these values in the above equation we get,

α = [tex]\frac{ln(m/m(t))}{t}[/tex]

α = 0.0802 per minute;

The rate constant for the nuclide according to first-order kinetics is 0.0802 per minute.

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the ease with which the charge distribution in a molecule can be distorted by an external electrical field is called the . the ease with which the charge distribution in a molecule can be distorted by an external electrical field is called the . electronegativity hydrogen bonding volatility viscosity polarizability

Answers

The ease with which the charge distribution in a molecule can be distorted by an external electrical field is called the polarizability.

The polarizability can be defined as the the tendency of the matter, when they are subjected to an electric field,  the electron cloud of the matter will distorted. as the number of electrons increases the polarizability of the atom increases. the polarizability tells us that how the electrons distorted around the atom.

Thus, the more the polarizability , the more the stability of the anion. the larger the atom size  , the electron will more away from the nucleus, the mores polarizable.

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PLEASE HELP I ACTUALLY WANT TO LEARN THIS PROBLEM!!! 125 g Fe₂O3 reacts according to the equation below. Calculate the % yield if
87,000 milligrams of iron are formed?
Fe₂O3 +
C →
125g Fez03x
Fe +
CO

Answers

To calculate the % yield, you need to determine the actual yield of the reaction and compare it to the theoretical yield. The actual yield is the amount of product that is actually produced during the reaction, while the theoretical yield is the maximum amount of product that could be produced based on the amounts of reactants used.

In this case, the theoretical yield is 87,000 milligrams of iron, since this is the amount of product that was actually produced. The % yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100%.

Since the actual yield and the theoretical yield are the same in this case, the % yield is 100%. This means that the reaction had a perfect yield, with all of the reactants being converted into product.

Which observations demonstrate that cellular respiration is a chemical reaction?

Select all that apply.

Answers

The cellular respiration is a chemical reaction carbon dioxide is one of the product, however it is not a reactant. Therefore, Option A is correct.

What is cellular respiration ?

Cellular respiration is the process by which biological fuels are oxidized in the presence of an inorganic electron acceptor such as oxygen to produce large amounts of energy, which is then used to drive ATP production.

Cellular respiration is the process by which oxygen and glucose are converted into water and carbon dioxide. Water and carbon dioxide are byproducts of the process, and ATP is the energy that is produced.

The chemical process by which organic compounds release energy is known as respiration. Exergonic reactions transform the compounds into new ones. Energy is released during the hydrolysis of adenosine triphosphate (ATP) to adenosine diphosphate (ADP) and phosphoric acid (Pi) (it is an exergonic reaction).

Thus, option A is correct.

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What type of chemical bond holds Ca²+ and O²- together in
CaO?

Answers

Answer:

ionic

Explanation:

Since Ca is a metal and O is a non-metal, the bond is ionic.

Neon ga i found to effue through a hole. Careful meaurement indicate that 1. 42x10^-1 mol effued in 5. 8 minute. How long would it take for the ame amount of xenon ga to effue through the ame hole under the ame condition?

Answers

1.42 × [tex]10^{-1}[/tex] mol would take 14.79 min to effuse.

How long would it take to effuse?

Mathematically,

Rate of effusion =  [tex]\sqrt{1/M}[/tex] ; M= Molar mass

For comparative study between two subjects, we can write:

[tex]r_{2} / r_{1}[/tex]= [tex]\sqrt{m1/m2}[/tex]

In this case, Ne be gas 1 and Xe be gas 2,

∴ r(Xe) = r(Ne)[tex]\sqrt{20.1797/131.293}[/tex]

r(Xe) = 9.60×10[tex]^{-3}[/tex]mol/min

Thus, for Xe  9.60×10[tex]^{-3}[/tex] mol effuses in 1 minute,

1.42 × [tex]10^{-1}[/tex] would effuse in 1.42 × [tex]10^{-1}[/tex] /9.60×10[tex]^{-3}[/tex] = 14.79 min

Thus, 1.42 × [tex]10^{-1}[/tex]  mol would take 14.79 min to effuse.

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HELP ASAPPPPPPPPPPPPPPPP PLEASEEEEE

Answers choices

AgNO3

Al2(SO4)3

BaCl2

K2CrO2

Mg(NO3)2

Na2CrO4

Na2SO4

Answers

Mg(NO3)2 I’m right because I’m black

Ian has been learning about different kinds of mixtures at school. While he was helping prepare dinner for his family, he noticed that some of the food they were making were different kinds of mixtures. What kind of mixture was their dinner if they were having spaghetti and meatballs?.

Answers

The mixture of spaghetti and meatballs is heterogeneous.

What are the different types of mixtures?

Heterogeneous and homogeneous mixtures are the two types of mixtures. While homogeneous mixtures seem consistent throughout, heterogeneous mixtures have clearly discernible components. A solution, which can be a solid, liquid, or gas, is the most typical kind of homogenous mixture.

What is a homogenous mixture?

A mixture is said to be homogenous if its composition is constant throughout. Because the dissolved salt is evenly distributed throughout the whole saltwater sample, the salt water described above is homogenous.

Which five types of heterogeneous mixtures are there?

There are five different types of heterogeneous mixtures: suspensions, colloids, liquids, gases, and solids.

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Uppoe you have 100,000-atom ample of a radioactive nuclide that decay with a half life of 2. 0 day. How many radioactive atom are left after 10 day?

Answers

After 10 days, there will be approximately 15,625 radioactive atoms left.

What is radioactive?
The process through which an unstable nucleus loses energy through radiation is known as radioactive decay, also recognised as nuclear decay, radioactive contamination, radioactive disintegration, as well as nuclear disintegration. A substance that has unstable nuclei is regarded as radioactive. Alpha decay, beta decay, and gamma decay are three of the most frequent types of decay, and they all involve the emission of one or even more particles. Beta decay is a result of the weak force, while the nuclear force and electromagnetism are in charge of the other two mechanisms. Electron capture, which occurs when an unstable nucleus seizes an inner electron in one of the electron shells, is the fourth common type of decay.

This is because the half life of the nuclide is 2 days, meaning that after 2 days, half of the 100,000 atoms will have decayed and only 50,000 atoms will remain. After 10 days, the number will have halved 6 times, leaving 15,625 atoms (50,000/2^6).

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a mixture of gases contains 315 torr n2, 275 torr o2, and 285 torr ar. what is the mole fraction of n2 in this mixture?

Answers

The mole fraction of nitrogen has been 0.36. When a mixture of gases contains 315 torr n2, 275 torr o2, and 285 torr ar.

What is the Mole fraction?

A mixture's mole fraction is calculated by dividing the number of molecules of a specific component by the total number of moles in the mixture. It is a method of indicating how concentrated a solution is. The total mole fraction of all the components is therefore always equal to one.

In chemistry, what exactly is a mole fraction?

the proportion between the moles of one component in a solution or other combination and the total moles of all the components.

[tex]P_{total} = P_{O2} + P_{N2} + P_{AR}[/tex]

P = 315 + 275 + 285 = 875

m =  [tex]\frac{315}{875}[/tex] = 0.36

The mole fraction of nitrogen has been 0.36.

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cr31 has pka 5 3.80. find the ph of 0.010 m cr(clo4)3. what fraction of chromium is in the form cr(h2o)w21(oh)21?

Answers

The fraction of chromium in cr(h2o)w21(oh)21 is 0.000185.

Regardless of how strong or weak an acid is, it dissociates into water in a similar way.

H+ A -> H A-.

Its dissociation constant value is influenced by the acid's Ka value, which is defined as the acid's dissociation constant. If Ka is higher, the acid is more acidic, and vice versa if pKa is higher, the acid is more acidic.

More pKa is equal to -log(Ka), so if Ka is 10 then pKa is -1, and if Ka is 1000 then pKa is -3, meaning that the less acidic the solution is, the more pKa there is.

Consider that I had an acid with a C initial concentration. If a certain amount of A dissociates upon equilibrium, I obtain the equilibrium concentration of the acid as C-A and the equilibrium concentration of both H and the conjugate (Ac-) as A. because their stoichiometric coefficients are nearly equal for both.

You can write the Ka expression as follows using this information.

Ka is equal to [H] [Ac-] / [HAc].

A * A / C-A results from substitution.

Fraction of chromium= Ph/Pk

=0.010/53.80=0.000185.

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what is the molecular formula for an unsubstituted alkane of smallest molar mass which possess a sterogenic center

Answers

C7H16, see as the compounds who shows optical isomerism have a chiral carbon so an unsymmetrical alkane can show the optical isomerism. 6 carbon and 8 carbon alkane is not the answer. So, the smallest alkane is 7 carbon alkane is 3 methyl hexane which have 3rd carbon as chiral carbon.

What is Molar mass?

Molar mass is the amount of mass that makes up one mole of a substance. It may also be referred to as the mass of the substance, measured in grammes, that makes up one mole of the substance. There are 6.023 x 1023 molecules in a mole. It is known as Avogadro's number. The most significant concept in physical chemistry is molar mass. The molar mass, the molar mass formula, the molecular mass and its formula, the distinction between the molar and molecular masses, and the relative molar mass and its formula are all topics covered in this article.

For elements or molecules, molar mass is displayed. The molar mass is simply the element's mass represented in atomic mass units in the case of single elements or individual atoms. In other words, an individual atom's atomic mass and molar mass are same.

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If you made a three-dimensional model of an atom and its nucleus, how would you represent the atom? how would you represent nucleus?.

Answers

To represent an atom, you could use a sphere to represent the electron cloud, with the nucleus in the center.

What is atom?
Each atom is made up of a nucleus one and or more electrons that are bound to it. One or even more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free. Atoms that are neutral or ionised make up every solid, liquid, gas, as well as form of plasma. Atoms are incredibly tiny, measuring typically 100 picometers across. Due to quantum effects, they are so small that it is impossible to predict their behaviour with sufficient accuracy using classical physics, as would be the case, for example, if they were tennis balls.

The nucleus could be represented by a smaller sphere or a cube, depending on the size you want to make it. The nucleus is composed of protons and neutrons, so the cube or sphere could be made to represent these particles, with each particle being a different color or size. This way, it would be easier to distinguish between the electron cloud and the nucleus.

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What are the values of δs for the water, the surroundings, and the universe for the evaporation of water from an open pan at 25°c?.

Answers

The values of δs for the water, the surroundings, and the universe for the evaporation of water from an open pan at 25° are positive, negative, positive

What is entropy?

It is a measure of the unusable energy in a closed thermodynamic system that is also frequently regarded as a measure of the system's disorder, a characteristic of the system's state, and that varies inversely with the system's temperature and immediately with any reversible change in heat in the system.

a measure of the wasted energy in a closed thermodynamic system that is also frequently viewed as a measure of the system's disorder, a characteristic of the system's state, and that varies inversely with the system's temperature and instantly with any reversible change in heat in the system.

Because the system needs to be supplied with thermal energy, which comes from the environment, this phase change is endothermic. As a result, the environment's entropy must decrease (Ssurr must be negative).

According to the Second Law of Thermodynamics, the process is spontaneous because water does evaporate, which suggests that Suniverse > 0. This necessitates that the entropy rise of the liquid water be greater than the entropy decrease of the environment.

Therefore the values of δs for the water, the surroundings, and the universe for the evaporation of water from an open pan at 25° are.positive, negative, positive

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With what volume of 5. 00 m hf will 4. 03 g of calcium hydroxide react completely, according to the following reaction?.

Answers

The volume  of 5.00 M  HF that will react with 4.72  g   of  calcium hydroxide  is 0.0256 L.

What is volume?

volume is a mathematical quantity that defines three diamensional space.

2HF   + Ca(OH)₂ →  CaF₂ + 2H₂O

Step 1:  find the  moles  of Ca(OH)₂

moles= mass÷  molar mass

from periodic  table the molar mass of Ca(OH)₂  = 40 +( 16+1)₂= 74 g/mol

moles =  4.72 g÷  74 g/mol =0.0638   moles

Step  2:  use the  moles ratio to determine the  moles of Hf

from the equation above HF: Ca(OH)₂  is 2:1

therefore the moles of HF = 0.0638 moles x 2/1 =0.1276 moles

Step 3: find   the  volume  of HF

volume=moles /molarity

molarity =5.00 M = 5.00 mol/L

=0.1276  moles / 5.00 mol/l =0.0256 L

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Complete Question.

The complete Question is attached below

Guyton de Morveau, a French chemist, created a system for naming compounds that is still used today. For example, he said that a compound of zinc and chorine is called zinc chloride. Which of the
following is true about de Morveau's naming system?

A. The non-metallic atom is last.
B. The metallic atom is last.
C. The larger atom is first.
D. The smaller atom is first.

Answers

In de Morceau's nomenclature scheme, the smaller atom appears first.

What naming scheme is used?

Nomenclature is an organism name system used in biological classification. Genus and species names, two Latinized nouns drawn from numerous sources, serve as indicators of the species to which the creature belongs.

Who created the current nomenclature for chemical substances?

On August 26, 1743, Antoine-Laurent Lavoisier was born in Paris, France. He was a well-known French chemist and a key player in the 18th century chemical revolution. In addition to co-creating the current system for identifying chemical compounds, he established an experiment-based explanation of the chemical reactivity of oxygen.

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one ball of lead has a volume of 90 cm and a mass of 1,017g. a larger ball of lead has a volume of 250 cm and a mass of 2,825g. complete the calculations and state whether or not the density changes.

Answers

The density of the balls, given the masses and volume of each balls did not change

How do I know whether or not the density changes?

To Know if there is a change or not, we shall determine the density of both lead balls. Details below:

For the small ball

Mass of small ball = 1017 gVolume of small ball = 90 cm³Density of small ball = ?

Density = mass / volume

Density of small ball = 1017 / 90

Density of small ball = 11.3 g/cm³

For the larger ball

Mass of larger ball = 2825 gVolume of larger ball = 250 cm³Density of larger ball = ?

Density = mass / volume

Density of larger ball = 2825 / 250

Density of larger ball = 11.3 g/cm³

From the above calculations, we obtained:

Density of small ball = 11.3 g/cm³Density of arger ball = 11.3 g/cm³

Thus, we can conclude that the density of the lead balls did not change

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draw the organic product formed when 1−hexyne is treated with h2o, h2so4, and hgso4. click the draw structure button to launch the drawing utility.

Answers

The organic product formed when 1−hexyne is treated with the H₂O, H₂SO₄ and HgSO₄ is 2 - hexanone.

The reaction of the 1−hexyne is treated with the H₂O, H₂SO₄ and HgSO₄ is given as :

CH₃- CH₂ - CH₂ - CH₂ - C ≡ CH   + H₂O / H₂SO₄ / HgSO₄ ----->

1 - hexyne                                                    CH₃- CH₂ - CH₂ - CH₂ - CO - CH₃  

                                                                                     2 - hexanone

Thus, the when the 1 - hexyne react with the   H₂O, H₂SO₄ and HgSO₄ is 2 - hexanone the product is formed is known as the 2 - hexanone.    the above is the reaction for the formation of 2 - hexanone.

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The formula h20means

Answers

Answer:

water

Explanation:

Water
Explanation
H2 means that there 2 hydrogen and O one Oxygen molecule

2. How many moles of carbon dioxide gas are in 0.667 liters?

Answers

0.034 mol of carbon dioxide gas, are there in 0.667 L.

We can assume that the volume of one mole of any gas is 22.4 L we know that the pressure of the gas is 1 atmosphere and that the temperature of a gas is 0C

This type is called standard temperature and pressure (STP).

This can be calculated by using the formula in which we can find the moles:

PV =nRT------(1)

Where P is the pressure

V is volume

T is the temperature in Kelvin

R is the ideal gas constant consistent with the units of volume and pressure.

0.667 L x 1 mol/22.4 L = 0.034 mol

And 0.667 liters of CO2 or any other gas at STP would contain 0.034 moles.

If the gas was at some other temperature or pressure, assuming they were “moderate,” you could calculate the number of moles by solving the following formula for n.

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How do you know which atoms make up a molecule?

Answers

The number of atoms equals the number of moles, or N A. Being triatomic, CO 2 1 molecule of CO2 has 1 atom of C and 2 of the total number of atoms, which is 0. 5 3 6. 023 10 23 = 9. 0345 10 23 atoms. C has 0. 5. 1. 6. 023 10 23 = 3. 0115 10 23 atoms, according to the formula.

What kind of atoms are found in molecules?

A molecule is created when two atoms are joined by a chemical bond. A diatomic molecule in this instance (prefix di- means two). The two main diatomic molecules in the air you are inhaling are nitrogen gas and oxygen gas. N2 and O2 are the formulas for them.

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Grams to Moles: how many moles in 196 grams of NaOH

Answers

number of moles = mass % molar mass
Molar mass for NaOH = 39.99
Number of moles = 196 % 39.99
= 4.90

2a) The work function of potaium metal i 2. 29 eV. An particular laer emit pule of light
with a wavelength of 355 nm. What i the maximum K. E. Of electron emitted when 355 nm
light irradiate a clean K urface?

Answers

The leftover energy is transformed into kinetic energy after the electrons are brought to the metal surface. hv = + Kmax is the photoelectric formula. Potassium's work function is =2.29eV=2.241.610=19J.

How is a kinetic energy problem solved?

Kinetic energy (KE) can be calculated using the formula KE = 0.5 x mv2. Here, m stands for mass, which is a measure of how much matter is contained within an item, and v for velocity, which is a measure of how quickly the thing changes positions.

How is energy calculated in chemistry?

To determine the energy shift in a reaction: Energy change is defined as the difference in the bond energies of all the bonds in the reactants and products. This is known as the "energy in" and "energy out" components.

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HELP ASAP CHEMISTRY!!!!!!!

Answers

In the first image the compound reacting with N₂ is LiF because F has the valency of -1. The second reaction with N₂ is the reaction with CeCl, where the oxidation state of Ce is +1. The products of the given reactions are BaSO₄ because, Ba and sulphate group both have a valency of 2.

What is oxidation state?

Oxidation state of an element is the number of electrons it can lose or gain in a reaction. Halogens are having 7 valence electrons and they have to gain one electron to attain octet. Hence, their oxidation state is being -1.

In the first reaction N₂ is reacting with LiF, where Li has the oxidation number of + 1 by giving an electron to F.

In the second reaction the element with Cl is cesium and not strontium. Cesium metal loses one electron to Cl forming its +1 oxidation state.

For the third reaction , barium chloride and magnesium sulphate forms the products BaSO₄ and MgCl₂. Where the formula of barium sulphate is BaSO₄ because, both Ba and sulphate group has the oxidation number of 2.

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Which of the following is the correct sequence of structures that sound waves pass through on the way to the auditory nerve?A. cochlea, hammer, anvil, stirrup, eardrumB. hammer, eardrum, basilar membrane, cochleaC. hammer, anvil, stirrup, eardrum, cochleaD. inner ear, middle ear, cochlea, eardrumE. eardrum, hammer, anvil, stirrup, cochlea If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,leaving a deficit at the positive terminal, what is the potential difference between the negative andpositive terminals of the battery? Let f(x)=\sqrt(3x-9) and g(x)=3x^(2)-9A) what is the inverse of function f?b) is f an inverse of g? Please show all work (-1.9)/(-1.9)help me please Why is the sarcomere considered the basic functional unit of skeletal muscle?Question options:A) it extends the length of the muscle fiberB) it is an alternate name for the muscle cellC) it is the smallest portion capable of contractingD) it is NOT considered the basic functional unit of skeletal muscle Which one of the following options is usually an appealing way to try to increase a company's ROE?A) Maintaining a high (above 75%) dividend payout ratioB) Paying a minimal dividend (probably no more than $0.10 per share) so as to keep boosting retained earnings by a sizable amount every year.C) Issuing additional shares of stock and using the proceeds to retire long-term debt and avoid short-term loansD) Paying a dividend each upcoming decision round that exceeds projected EPS by $2.00E) Not paying a dividend and using all available cash to pay down debt. Density is a common physical property of substances that can give insight into the structure of the substance on the atom or molecular level. You are attempting to measure the thickness of a rectangular piece of aluminum found at a crime scene, but it is too thin for your ruler. You know density has units of g/mL, and you recall mL is the same as cm?. Sooo...why not use the volume of the metal, the length and height? to find the volume by water displacement, you lower the sample into a graduated cylinder with an initial volume of water of 32.9 ml. the volume of water rises to 48.1 ml. you also mass the sample and determine it to be 20.28 g. finally, you measure the length of the solid to be 6.5 cm and the height to be 5.1 cm. from this information determine the thickness of the metal rectangular solid(mm). Which object has a mass of 27 grams. If each object has an identical *volume of 3cm', which object has a mass of 27 grams At the beginning of the year, Juan had $60 in savings and saved an additional $15each week thereafter. Mila started the year with $40 and saved $20 every week. Let Jrepresent the amount of money Juan has saved t weeks after the beginning of theyear and let M represent the amount of money Mila has saved t weeks after thebeginning of the year. Graph each function and determine the number of weeks afterthe beginning of the year until Juan and Mila have the same amount of money saved. Let f(x)=x3 and g(x)=13x.Use the composition of functions to determine if f(x) and g(x) are inverse functions.Drag and drop the answers into the boxes to correctly complete each statement. In animals, nitrogenous wastes are produced mostly from the catabolism of 15 pts O triglycerides and steroids O fatty acids and glycerol. O proteins and nucleic acids. O phospholipids and glycolipids. O starch and cellulose. can someone help me out here,im a little confused.Three vertices of a square are A(1,2), B(4,2), and C(4,1).Plot all four vertices of the square. 15. Every year in Delaware there is a contest where people create cannons and catapults designedto launch pumpkins as far in the air as possible. The equation y = 12 + 105x-16x can beused to represent the height, y, of a launched pumpkin, where x is the time in seconds that thepumpkin has been in the air. What is the maximum height that the pumpkin reaches? Howmany seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits theground, its height is 0 feet.)(1 point) PLEASE HURRY!!Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown:A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 9 feet.Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)Part B: The length of rod PR is adjusted to 18 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points) HELP!!! a wooden block in a set of building blocks is a rectangular prism with a volume of 168 cubic centimeters. the block is x2 centimeters tall, (x-3) centimeters long, and (x-4) centimeters wide. find the dimensions of the block. Which one of the following techniques would you use in ArcGIS PRO if you wanted to exchange the current selection in a layer with the unselected features in the same layer? A. EraseB. ExportC. Switch selectionD. Definition query Which policy was developed by the industrialized nations as the need for more food and raw materials increased? Why did African Americans disagree with American Imperialism after theSpanish American War? Mr. Chemistry added 1.6 g of NaOH to 50.0 mL of water. What is the concentration of his solution? (molar mass NaOH = 40.0 g/mol) true or false? if one horizon begins to underperform, you should reallocate resources to those initiatives until they start performing well.